光学学报, 2007, 27 (8): 1503, 网络出版: 2007-09-05   

无衍射光的干涉实验与理论分析

Experiments and Theoretical Analyses of Non-Diffracting Beams Interference
作者单位
华中科技大学机械学院, 武汉 430074
摘要
分析了两束无衍射光的干涉场分布形式和干涉条纹轨迹。将一束单色光入射两小孔产生的两束相干光照射轴锥镜,在轴锥镜后将产生两束无衍射光。根据单束倾斜光入射轴锥镜的无衍射理论,分析出这两束无衍射光产生的干涉场为每束无衍射光的无衍射场的线性叠加。利用零阶贝塞尔函数的零点公式,推导出两束无衍射光的干涉条纹的轨迹为双曲线。计算结果表明,干涉场中两中心的间距与两孔实际的间距和干涉场距轴锥镜的距离成正比。实验结果与理论仿真相一致。
Abstract
The interference pattern and locus of interference fringes of two non-diffracting beams are analyzed. Two non-diffracting beams are generated when an axicon is illuminated by two coherent beams, which are produced by two pinholes illuminated by a monochromatic wave. Based on the non-diffracting property of an axicon in oblique illumination, the interference field is the linear superposition of each non-diffracting field of non-diffracting beam. The locus of interference fringes is analyzed to be hyperbola according to the zero-point formula of zero-order Bessel function. Results show that the distance of the two centers of interference field is proportional to the distance of the two pinholes and the distance between the axicon and interference field. The experimental results are in good agreement with the numerical simulation.
参考文献

[1] . Durnin. Exact solutions for nondiffracting beams I: the scalar theory[J]. J. Opt. Soc. Am. A, 1987, 4(4): 651-654.

[2] Michael R. LaPointe. Review of nondiffracting Bessel beams[C]. Proc. SPIE, 1991, 1527: 258~276

[3] Zhao Bin. Theory and experiments of coaxial di-nondiffracting beam[J]. Acta Optica Sinica, 2003, 23(12): 1460~1463 (in Chinese)
赵斌. 同轴双无衍射光的理论与实验[J]. 光学学报, 2003, 23(12): 1460~1463

[4] Zhao Bin, Li Zhu, Huang Dexiu. Transformation of non-diffracting beams by a telescope system[J]. Acta Optica Sinica, 1998, 18(6): 707~711 (in Chinese)
赵斌,李柱,黄德修. 无衍射光经望远系统的变换[J]. 光学学报, 1998, 18(6): 707~711

[5] . . The investigation of the diffraction free beam with a finite aperture[J]. Chinese Science Bulletin, 1994, 39(2): 125-128.

[6] Zbigniew Jaroszewicz, Anna Thaning, Ari T. Friberg et al.. Design of diffractive axicon doublets for variable illumination angles[C]. Proc. SPIE, 2003, 5259: 92~96

[7] Zhao Bin, Li Zhu. Diffraction property of axicon illuminated by inclined plane wave[J]. Acta Optica Sinica, 1999, 19(3): 299~305 (in Chinese)
赵斌,李柱. 同轴共轭透镜对斜入射平行光的聚焦衍射特性[J]. 光学学报, 1999, 19(3): 299~305

[8] . Diffraction property of an axicon in oblique illuminate[J]. Appl. Opt., 1998, 37(13): 2563-2568.

[9] Marcelino Anguiano-Morales, M. Maribel Mendez-Otero, Sabio Chavez-Cerda et al.. Different intersity distribution obtained with an axion[C]. Proc. SPIE, 2005, 5876: 1~8

[10] . Influence of manufacture error of an axicon on beam transmission[J]. J. Huazhong University of Science and Technolgy, 2001, 29(3): 61-63.

[11] . Chávez-Cerda, M. A. Meneses-Nava, J. Miguel Hickmann. Interference of traveling nondiffracting beams[J]. Opt. Lett., 1998, 23(24): 1871-1873.

[12] . Chávez-Cerda, E. Tepichín, M. A. Meneses-Nava et al.. Experimental observation of interfering Bessel beams[J]. Opt. Express, 1998, 3(13): 524-529.

[13] Lü Naiguang. Fourier Optics[M]. 2th ed., Beijing China: China Machine Press, 2006. 87~93 (in Chinese)
吕乃光. 傅里叶光学[M]. 第二版, 北京: 机械工业出版社, 2006. 87~93

[14] Editorial committee of “Handbook for Modern Mathematics”. Handbook for Modern Mathematics·Classical Mathematics Volume[M]. Wuhan: Huazhong University of Science and Technology Press, 2000. 381~390 (in Chinese)
《现代数学手册》编纂委员会. 现代数学手册·经典数学卷[M]. 武汉: 华中科技大学出版社, 2000. 381~390

翟中生, 赵斌. 无衍射光的干涉实验与理论分析[J]. 光学学报, 2007, 27(8): 1503. 翟中生, 赵斌. Experiments and Theoretical Analyses of Non-Diffracting Beams Interference[J]. Acta Optica Sinica, 2007, 27(8): 1503.

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